Question

work!
The bases of a right prism are right triangles with side
lengths of 3 in, 4 in, and 5 in. The volume of the
prism is 96 in³. What is the height of the prism?

Answer 1

Answer:

• 16 in

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Find the base area, considering the legs are 3 in and 4 in, since it is a right triangle:

• B = 3*4/2 = 6 in²

We know the volume is V = Bh.

Substitute the known values and solve for h:

• 96 = 6h
• h = 96/6
• h = 16

So, the height of the prism is 16 in.